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Finding the Fourth Proportional to 409,033.59, 564,459.60 and 239,296.47

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Solution

The fourth proportional to 409,033.59, 564,459.60 and 239,296.47 is: 330,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,033.59 : 564,459.60 = 239,296.47 : x
  2. Step 2: Convert to fraction form
    409,033.59/564,459.60 = 239,296.47/x
  3. Step 3: Cross multiply
    409,033.59x = 564,459.60 × 239,296.47
  4. Step 4: Simplify right side
    409,033.59x = 135,073,189,737.61
  5. Step 5: Solve for x
    x = 135,073,189,737.61/409,033.59
  6. Step 6: Final answer
    x = 330,225.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.